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Finding the Third Proportional to 19,664.44 and 29,498.34

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Solution

The third proportional to 19,664.44 and 29,498.34 is: 44,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664.44 : 29,498.34 = 29,498.34 : x
  2. Step 2: Convert to fraction form
    19,664.44/29,498.34 = 29,498.34/x
  3. Step 3: Cross multiply
    19,664.44x = 29,498.34 × 29,498.34
  4. Step 4: Simplify right side
    19,664.44x = 870,152,283.99
  5. Step 5: Solve for x
    x = 870,152,283.99/19,664.44
  6. Step 6: Final answer
    x = 44,250.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.